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11930328 = 233517192
BaseRepresentation
bin101101100000…
…101011011000
3211110010100000
4231200223120
511023232303
61103413000
7203256204
oct55405330
924403300
1011930328
116809483
123bb4160
132619387
141827b04
1510a9da3
hexb60ad8

11930328 has 144 divisors (see below), whose sum is σ = 37444680. Its totient is φ = 3545856.

The previous prime is 11930291. The next prime is 11930333. The reversal of 11930328 is 82303911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 627903 + ... + 627921.

Almost surely, 211930328 is an apocalyptic number.

11930328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11930328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722340).

11930328 is an abundant number, since it is smaller than the sum of its proper divisors (25514352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11930328 is a wasteful number, since it uses less digits than its factorization.

11930328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11930328 is about 3454.0306889198. The cubic root of 11930328 is about 228.4989074989.

The spelling of 11930328 in words is "eleven million, nine hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 204 216 228 243 306 323 324 342 361 408 456 459 486 513 612 646 648 684 722 918 969 972 1026 1083 1224 1292 1368 1377 1444 1539 1836 1938 1944 2052 2166 2584 2754 2888 2907 3078 3249 3672 3876 4104 4131 4332 4617 5508 5814 6137 6156 6498 7752 8262 8664 8721 9234 9747 11016 11628 12274 12312 12996 16524 17442 18411 18468 19494 23256 24548 25992 26163 29241 33048 34884 36822 36936 38988 49096 52326 55233 58482 69768 73644 77976 78489 87723 104652 110466 116964 147288 156978 165699 175446 209304 220932 233928 313956 331398 350892 441864 497097 627912 662796 701784 994194 1325592 1491291 1988388 2982582 3976776 5965164 11930328